73.13.18 problem 20.1 (r)

Internal problem ID [15396]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 20. Euler equations. Additional exercises page 382
Problem number : 20.1 (r)
Date solved : Tuesday, January 28, 2025 at 07:54:23 AM
CAS classification : [[_Emden, _Fowler]]

\begin{align*} 3 x^{2} y^{\prime \prime }-7 x y^{\prime }+3 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 15

dsolve(3*x^2*diff(y(x),x$2)-7*x*diff(y(x),x)+3*y(x)=0,y(x), singsol=all)
 

\[ y = c_{1} x^{3}+c_{2} x^{{1}/{3}} \]

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 20

DSolve[3*x^2*D[y[x],{x,2}]-7*x*D[y[x],x]+3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_2 x^3+c_1 \sqrt [3]{x} \]